Pith Number

pith:LCQQCJYK

pith:2010:LCQQCJYKAJUZW5VBB5P77PQNWA

not attested not anchored not stored refs pending

L^1 averaging lemma for transport equations with Lipschitz force fields

Daniel Han-Kwan (DMA)

arxiv:1011.6032 v1 · 2010-11-28 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCQQCJYKAJUZW5VBB5P77PQNWA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:34:36.529364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a101270a02699b76a10f5fffbe0db01c671facf20084dbb1041edb1c596c21

Aliases

arxiv: 1011.6032 · arxiv_version: 1011.6032v1 · doi: 10.48550/arxiv.1011.6032 · pith_short_12: LCQQCJYKAJUZ · pith_short_16: LCQQCJYKAJUZW5VB · pith_short_8: LCQQCJYK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LCQQCJYKAJUZW5VBB5P77PQNWA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 58a101270a02699b76a10f5fffbe0db01c671facf20084dbb1041edb1c596c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa39f694d9f91bf0d9ac3197ceeaffc3ac01ac33c845ffaeb5160264849f3fca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-28T11:15:22Z",
    "title_canon_sha256": "62369ea728b0864eb5a4a4ee2a84f48bce53594e96d3d4980e261c3ed5214032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6032",
    "kind": "arxiv",
    "version": 1
  }
}